A Momentum Map for the Heisenberg Group-Reference-Cited by-同舟云学术

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A Momentum Map for the Heisenberg Group

Published:2024-08-15 Issue:8 Volume:16 Page:1054
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Cushman Richard¹

Affiliation:

1. Department of Mathematics and Statistics, University of Calgary, Calgary, AB T2N 1N4, Canada

Abstract

We look at a momentum map associated with the Heisenberg group. We show that the cocycle associated with its momentum mapping is the value of a modulus of an associated coadjoint orbit.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/8/1054/pdf

Reference6 articles.

1. Cushman, R.H., and Bates, L.M. (2015). Global Aspects of Classical Integrable Systems, Birkhäuser. [2nd ed.].

2. Adjoint and coadjoint orbits of the Poincaré group;Cushman;Acta Appl. Math.,2006

3. Quantization and unitary representations, part I;Taam;Lectures in Modern Analysis and Applications III,1970

4. Wallach, N. (2018). Symplectic Geometry and Fourier Analysis, Dover. [2nd ed.].

5. Kirillov, A.A. (2004). Lectures on the Orbit Method, American Mathematical Society. Graduate Studies in Mathematics 64.

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